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Which of the following is NOT a subset of $2^\{$a$,$b$\}*\{$a$,$b$\}$

Group of answer choices

$(\{$a$\},$ a$)$

$($a $,\{$a$\})$

$(\{$a$,$b$\},\{$a$,$b$\})$

$(\{$a$\},\{$a$,$b$\})$

$(\{$b$\},$ a $)$

$(\{$a$,$b$\},$ a $)$

$(,$ b$)$

$(\{$b$\},)$

$(\{$a$,$b$\},$ b$)$

$($ b $,\{$a$\})$